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350068416 = 2633075939
BaseRepresentation
bin10100110111011…
…001111011000000
3220101201022120220
4110313121323000
51204104142131
654423103040
711450350425
oct2467317300
9811638526
10350068416
1116a671645
12992a1a80
13576ab399
14346c7d4c
1520aede96
hex14dd9ec0

350068416 has 56 divisors (see below), whose sum is σ = 929396160. Its totient is φ = 116289792.

The previous prime is 350068393. The next prime is 350068421. The reversal of 350068416 is 614860053.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55975 + ... + 61913.

It is an arithmetic number, because the mean of its divisors is an integer number (16596360).

Almost surely, 2350068416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464698080).

350068416 is an abundant number, since it is smaller than the sum of its proper divisors (579327744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350068416 is a wasteful number, since it uses less digits than its factorization.

350068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 350068416 is about 18710.1153390352. The cubic root of 350068416 is about 704.7757890710.

The spelling of 350068416 in words is "three hundred fifty million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 307 614 921 1228 1842 2456 3684 4912 5939 7368 9824 11878 14736 17817 19648 23756 29472 35634 47512 58944 71268 95024 142536 190048 285072 380096 570144 1140288 1823273 3646546 5469819 7293092 10939638 14586184 21879276 29172368 43758552 58344736 87517104 116689472 175034208 350068416